### Abstract

We prove a number of asymptotic results in the P(φ)_{2} theory in the limit when the space cut-offs are removed, in particular the behavior of E_{l} and Z_{t,l} as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ_{∞}(λ) for varying interaction constants λ.

Original language | English (US) |
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Pages (from-to) | 243-250 |

Number of pages | 8 |

Journal | Communications in Mathematical Physics |

Volume | 39 |

Issue number | 3 |

DOIs | |

State | Published - Sep 1974 |

### Fingerprint

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*39*(3), 243-250. https://doi.org/10.1007/BF01614243

**Infinite volume asymptotics in P(ø)2 field theory.** / Lenard, A.; Newman, C. M.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 39, no. 3, pp. 243-250. https://doi.org/10.1007/BF01614243

}

TY - JOUR

T1 - Infinite volume asymptotics in P(ø)2 field theory

AU - Lenard, A.

AU - Newman, C. M.

PY - 1974/9

Y1 - 1974/9

N2 - We prove a number of asymptotic results in the P(φ)2 theory in the limit when the space cut-offs are removed, in particular the behavior of El and Zt,l as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ∞(λ) for varying interaction constants λ.

AB - We prove a number of asymptotic results in the P(φ)2 theory in the limit when the space cut-offs are removed, in particular the behavior of El and Zt,l as t,l→∞. Such results are used to study the question of orthogonality of infinite volume Euclidean measures μ∞(λ) for varying interaction constants λ.

UR - http://www.scopus.com/inward/record.url?scp=34250418251&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250418251&partnerID=8YFLogxK

U2 - 10.1007/BF01614243

DO - 10.1007/BF01614243

M3 - Article

VL - 39

SP - 243

EP - 250

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 3

ER -